Answers
Answer:
5 cm/s
Step-by-step explanation:
The rate of change (ROC) is the speed at which the y variable (hieght) increases with the x variable (time). so ROC = 5.
the linear equation is y = mx + b, m is also the roc, b is the initial value, so,
if y = 60, x = 4 & b = 40, then making m the subject of equation will give the value of the ROC. i.e m = (y - b)/x = (60 - 40)/4.
Related Questions
Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answers
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
A line passes through (3,5) and (6, 14). What is the equation of the line in point-slope form? O A. y - 5 = 1/3 (x – 3) or y – 14 = 1/3 (x – 6) B. Y- 5 = 3(x – 3) or y – 14 = 3(x – 6) C. y-5 = 19/9 (x – 3) or y – 14 = 19/9 (x – 6) or y - 5 = 9/19 (x – 3) or y – 14 = 9/19 (x – 6)
Answers
B.) y-5 = 3(x-3) or y-14 = 3(x-6)
The equation of line in point slope form is (y - 5) = 3(x - 3) or (y - 14) = 3(x - 6) passing through ( 3 , 5) and (6,14).
What is line ?" A line is defined as the collection of points in one dimensional plane which represents only one dimension length and can extends to infinity."
Formula used
Slope(m) = [tex]y_{2} - y_{1}[/tex]/[tex]x_{2} - x_{1}[/tex]
Equation of line : ([tex]y[/tex] - [tex]y_{1}[/tex]) = m([tex]x[/tex] - [tex]x_{1}[/tex])
According to the question
We have
([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)
([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)
Substitute the value in the formula to get slope of line we get,
m = 14 - 5/6 - 3
= 9/3
= 3
Substitute the value in the formula of equation of line we get,
For ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)
(y - 5) = 3(x - 3)
or
For ([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)
(y - 14) = 3(x - 6)
Hence, Option (B) is the correct answer.
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Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared.
Answers
Answer:
Hope this helps...
Step-by-step explanation:
Write the equation of the line that passes through (3, -2) and is parallel to y= 4x+1
Answers
Answer:
it should be y=4x-14
Step-by-step explanation:
since the line is parallel to y=4x+1 than the slope should be the same but the y intercept is different. and so u put the coordinate on a graph and use the slope and coordinate to fine the equation.
A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. Each small box of paper weighs 40 pounds
and each large box of paper weighs 70 pounds. A total of 20 boxes of paper were
shipped weighing 1220 pounds altogether. Write a system of equations that could be
used to determine the number of small boxes shipped and the number of large boxes
shipped. Define the variables that you use to write the system.
HELP PLEASE (20 PTS)
Answers
What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5
Answers
list the first three multiples of 11
Answers
Answer:
22 33 44
Step-by-step explanation:
do you need to include 11
Letter: 8.5 inches by 11 inches Legal: 8.5 inches by 14 inches Junior legal: 5 inches by 8 inches Tabloid: 11 inches by 17 inches a. Are any of the paper sizes similar? b. The dimensions of government-letter paper are each 0.5 inch less than the dimensions of letter paper. Are these paper sizes similar? Question 2 c. By increasing the shorter side of legal paper by inch, it is similar to the size of junior legal paper.
Answers
Answer
a. No none are similar.
b. No.
c. Even if it were to be increased it still won’t be similar as what we would get would be 133 inches.
Step-by-step explanation:
LETTER = 8.5inches * 11 inches = 93.5inches.
LEGAL = 8.5inches * 14 inches = 119 inches
Junior legal: 5 inches * 8 inches = 40inches.
Tabloid: 11 inches * 17 inches = 187 inches
Government paper = 8inches * 10.5 inches = 84 inches.
Solve for x:
negative 9 over 8, multiplied by x minus 7 equals -25
A) −36
B) −16
C) 16
D) 36
Answers
Answer:
Step-by-step explanation:
16
10. The ratio of red marbles to purple marbles is 3:8. If there are 44
marbles, how many purple marbles are there? *
Answers
Answer:
32 purple marbles.
Step-by-step explanation:
Turn 3:8 into 3x+8x.
Equation:
3x+8x=44
x=4
Now, refer back to 3x:8x. We know that x=4, so 4*8=32.
32 purple marbles.
Answer:
There are 32 purple marbles and 12 red marbles
Step-by-step explanation:
The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...
3x+8x=44
11x=44
x=4
We need to know the number of purple marbles so we do,
8*4=32
Hi can somebody help me with this equation, please? 50=2(x+3)+10
Answers
Answer: x = 17
Step-by-step explanation:
1) Subtract 10 from both sides
40 = 2(x+3)
2) Divide both sides by 2.
20 = x + 3
3) Subtract 3 from both sides
17 = x
x = 17
Answer: x= 17
Step-by-step explanation:
17 plus 3= 20
then you multiply 20 times 2 (PEMDAS)
Then you get 40 and 40 + 10
equals 50
You move down 3 units. You end at (5,-2). Where did you start?
Answers
During a 20 kilometer hike, Deana consumed 334 quarts of water. What was Deana's average water consumption in quarts per kilometer? in a exact and completely simplified answer.
Answers
Answer:
16.7 quarts/kmStep-by-step explanation:
Distance = 20 kmWater consumed = 334 quartsWater consumption rate is:
334 quarts / 20 km = 16.7 quarts/kmThe recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you to make the cake?
Answers
Answer:
17/12
Step-by-step explanation:
find a common denominator for each number so 8/12 and 9/12
2 2/3 as a improper fraction
Answers
Answer:
8/3
Step-by-step explanation:
Answer: 8/3
Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3
-3/4 x -1/5=
What is the answer??
Answers
Answer:
870000000000000000000000
Please show your work? A pool of possible candidates for a student council consists of 14 freshmen and 9 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?
28,828,800
1,352,078
72,072
943,286,400
Answers
Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
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a grocery storr buys items and then applies a markup of 70%. Find the markup if the original cost was 10$
Answers
Answer:
7
Step-by-step explanation:
70/10=7
Help!! Please! Its algebra!!
Answers
Answer:
y - 7 = -4 ( x -2 )
Step-by-step explanation:
just use the given informations:
The base formula:
y - y(1) = m ( x -x(1) )
remember that "m" typically refers to the slope of a line
There is a given set of points on the line: (2, 7)
hence just plug in the numbers:
x(1) = 2
y(1) = 7
m = -4
and you get
y - 7 = -4 ( x -2 )
Y=-4(x-2)
hope it helps
Sb please help me!!!
Answers
Answer:
A
Step-by-step explanation:
A. It has reflectional symmetry with one line of symmetry.
B. It has rational symmetry with an angle rotation of 45°.
C. It has point symmetry.
D. It has no reflectional symmetry.
PLZ HELP!
Answers
Answer:
The answer would be D.
Step-by-step explanation:
No matter which way you turn this shape, it will not be symmetrical
7x-6=21+7x solve for x.
Answers
Answer: x= 34/7
Step-by-step explanation:hope this helps!
Company A makes business cards for $2.25 a
box and a setup fee of $4.50. Company B makes
business cards for $1.75 a box and a setup fee of
$6.00. How many boxes of business cards does each
ramiany make for the price to be equal
Answers
Answer:
225 and 175 are your x in this
Answer:
3 boxes
Step-by-step explanation:
Company A=2.25x+4.5
Company B=1.75x+6
2.25x+4.5=1.75x+6
.5x=1.5
x=3
BRAINILEST IF ANSWERED QUICKLY AND CORRECT.
(05.01)Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is _____ square inches.
Answers
Answer:
64
Step-by-step explanation:
A=1/2bh
basic multiplication after that
Answer:
Multiply the height by the base to get the area. 8 x 6 = 48. The area of the first triangle is 48 square inches. 8 x 10 = 80. The area of the second triangle is 80 square inches.
Step-by-step explanation:
the question is Reasoning Determine whether each statement is true or false for f (x) = |x|,
and explain your answer.
Answers
2. False -3 is not in the range of the function because the absolute value bars limit the y value to 0 and above
3. True any function like this with the x value in absolute value bars will always be identical on the opposite side of the y-axis
this applies to anything like: y=|x|, y=2|x|, y=|2x+2| and y=|x|+2
Which expression is equivalent to |1-5| + |3|?
O -2
O -8
O 2
O 8
Answers
Answer:
8
Step-by-step explanation:
because you do |1-5| first then do add ur answer to |3|
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST) 93 POINTS
From the grocery store you need to purchase 1/2 lb cheese, 3 lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off if your purchase totals more than $15.00 or 10% off if the total is more than $20.00. The food sales tax is 3%. What is the total cost of the groceries after the best discount is given and taxes applied?
Item Cost
Cheese $1.99/lb
Sliced Ham $3.29/lb
Bread $1.59/loaf
Potato Chips $1.99/ea OR 2 for $3.00
Salsa $1.39/container
$17.96
$21.44
$16.86
Answers
BRAINLIEST!!! easy question
Answers
Answer:
x=10 degrees
Step-by-step explanation:
Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.
Simplifying, we get
9x=90
or x=10
Answer:
18 degrees hope this helps
Step-by-step explanation:
please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.
3 different ways to write 4/8
in ratios
Answers
Answer:
1:2
2:4
3:6
Step-by-step explanation:
Answer:
4:8
4 to 8
4/8
Step-by-step explanation:
Solve:
12 + 5 + 3’2 x 10 - 5 =
(12 + 5) + 3'2 x (10 – 5) =
Answers
Answer:
1) 102
2) 62
Step-by-step explanation:
12 + 5 + 3² × 10 - 5
12 + 5 + 9 × 10 - 5
12 + 5 + 90 - 5
17 + 90 - 5
107 - 5
102
(12+5) + 3² × (10 - 5)
(17) + 9 × (5)
17 + 45
62
12 + 5 + 3^2 x 10 - 5 = 102
(12 + 5)+ 3^2 x (10 - 5) = 62
12 + 5 + 3^2 x 10 - 5
Add 12 and 5 to get 17
17 + 3^2 × 10−5
Calculate 3 to the power of 2 and get 9
17 + 9 × 10 − 5
Multiply 9 and 10 to get 90
17 + 90 − 5
Add 17 and 90 to get 107
107−5
Subtract 5 from 107 to get 102
(12 + 5)+ 3^2 x (10 - 5)
Add 12 and 5 to get 17
17 + 3^2 x (10 - 5)
Calculate 3 to the power of 2 and get 9
17 + 9 x (10−5)
Subtract 5 from 10 to get 5
17+ 9 × 5
Multiply 9 and 5 to get 45
17+45
Add 17 and 45 to get 62.
Hope this helps :)